Meshless Chebyshev RPIM Solution for Free Vibration of Rotating Cross-Ply Laminated Combined Cylindrical-Conical Shells in Thermal Environment

Abstract

This paper provides a numerical solution to the vibration of a rotating cross-ply laminated combined conical-cylindrical shell in the thermal environment. Its numerical discrete solution method uses the meshless method. The combined shell assumed the temperature independence of material property is divided to the fundamental conical and cylindrical shell substructures, and the theoretical formulation for each substructure is derived based on the first order shear deformation theory (FSDT) and Hamilton’s principle. The effects of the initial hoop tension and temperature change are considered through the kinetic energy reflecting the effects of centrifugal and Coriolis forces and additional strain energy by the nonlinear part of the Green–Lagrange strains. The substructures are then assembled according to the continuity conditions. The boundary and continuity conditions are simulated by introducing artificial virtual spring technology. The displacement component in the theoretical formulation is approximated using a meshless Chebyshev-RPIM shape function. The reliability of the method is verified by comparing with mature and reliable results. The free vibration characteristics of the rotating combined conical-cylindrical shell structure under various sizes, speeds and temperatures are given by numerical examples.

Computational Linear and Nonlinear Free Vibration Analyses of Micro/Nanoscale Composite Plate-Type Structures With/Without Considering Size Dependency Effect: A Comprehensive Review

“…Besides, Kulkarni and Walunjkar [136] employed the developed fournode discrete Kirchhoff quadrilateral element based on Reddy's third-order (DKTOT) to investigate the FV behavior of isotropic cylindrical shells. Li et al [137] employed the MF Chebyshev RPIM to analyze the FV of rotating cross-ply laminated combined cylindrical-conical shells in a heated environment. In addition, Gupta and Pradyumna [138] investigated the NL vibrational behavior of sandwich structure shell panpanel consisting of a core made of an auxetic honeycomb and curvilinear fiber-reinforced Face sheets.…”

Characterization and Modelling of Manufacturing–Microstructure–Property–Mechanism Relationship for Advanced and Emerging Materials

“…Chen et al [ 36 ] studied the vibration characteristics of submarine-like structures with laminated materials that consisted of spherical, cylindrical, and cone shells with multiple built-in annular plates, based on a numerical model. Li et al [ 37 ] developed a numerical discrete model that was based on a meshless Chebyshev-RPIM shape function, in order to study the vibration of a rotating cross-ply laminated combined conical–cylindrical shell in a thermal environment. In their study, Zhang et al [ 38 ] focused on the vibration characteristics of a laminated composite double cylindrical shell system (LCDCSS), coupled with a variable number of annular plates.…”